Do Ngoc Diep

Scientific Publications

Publications

1. 1. Koji Nagata, Renata Wong, Santanu Kumar Patro, Do Ngoc Diep, Tadao Nakamura, Incompleteness in the Bell Theorem with an Arbitrary Number of Settings, International Journal of Theoretical Physics, 59 (2020) (2020)
2. 2. Do Ngoc Diep, Koji Nagata, Renata Wong, Continuous-Variable Quantum Computing and its Applications to Cryptography, International Journal of Theoretical Physics, 59, 3184–3188(2020) (2020)
3. 3. Koji Nagata, Do Ngoc Diep, Tadao Nakamura, Quantum Cryptography Based on an Algorithmfor Determining a Function Using Qudit Systems, International Journal of Theoretical Physics, 59, No 9 (2020), 2875–2879 (2020)
4. 4. Do Ngoc Diep, Some Quantum Neural Networks, International Journal of Theoretical Physics, 59 (2020), 1179–1187 (2020)
5. 5. Koji Nagata, Santanu Kumar Patro, Shahrokh Heidari, Germano Resconi, Do Ngoc Diep, Tadao Nakamura, Han Geurdes, Incompleteness in the bell theorem involving all settings of measuring apparatus, Asia Pacific Journal of Mathematics, 2020 7:8. (2020)
6. 6. Koji Nagata, Do Ngoc Diep, Tadao Nakamura, Quantum Cryptography Through Some Algorithm for Quantum Computers, Asian Journal of Mathematics and Physics, 4, ISSUE 1, 2020, 7-13. (2020)
7. 7. Koji Nagata, Santanu Kumar Patro, Shahrokh Heidari, Han Geurdes, Do Ngoc Diep, Tadao Nakamura, Various New Forms of the Bernstein-Vazirani Algorithm Beyond Qubit Systems, Asian Journal of Mathematics and Physics, 3 (2019) 1-12. (2019)
8. 8. Koji Nagata, Tadao Nakamura, Ahmed Farouk, Do Ngoc Diep, No-Cloning Theorem, Kochen-Specker Theorem, and Quantum Measurement Theories, International Journal of Theoretical Physics, 58 (2019), 1845–1853 (2019)
9. 9. Koji Nagata, Tadao Nakamura, Ahmed Farouk, Do Ngoc Diep, Necessary and Sufficient Condition for Quantum Computing, International Journal of Theoretical Physics, 58 (2019), 136–14 (2019)
10. 10. Koji Nagata, Tadao Nakamura, Han Geurdes, Josep Batle, Ahmed Farouk, Do Ngoc Diep, Santanu Kumar Patro, Efficient Quantum Algorithms of Finding the Roots of a Polynomial Function, International Journal of Theoretical Physics 57 (2018), pp 2546–2555 (2018)
11. 11. Koji Nagata, Tadao Nakamura, Han Geurdes, Josep Batle, Soliman Abdalla, Ahmed Farouk, Do Ngoc Diep, Creating Very True Quantum Algorithms for Quantum Energy Based Computing, International, Journal of Theoretical Physics 57 (2018), pp 973–980 (2018)
12. 12. Do Ngoc Diep, Do Hoang Giang, Phan Huy Phu, Application of Quantum Gauss-Jordan Elimination Code to Quantum Secret Sharing Code, International Journal of Theoretical 57 (2018), pp 841–847 (2018)
13. 13. Do Ngoc Diep, Do Hoang Giang, Nguyen Van Minh, Quantum Gauss-Jordan Elimination and Simulation of Accounting Principles on Quantum Computers, International Journal of Theoretical Physics, 56 (2017), pp 1948–1960 (2017)
14. 14. Do Ngoc Diep, Do Hoang Giang, Quantum Communication and Quantum Multivariate Polynomial Interpolation, International Journal of Theoretical Physics, 56 (2017), 2797–2802, (2017)
15. 15. Do Ngoc Diep, On the Twisted KK-Theory and Positive Scalar Curvature Problem, International Journal of Advances in Mathematics 2017 (2017), 9-15 (2017)
16. 16. Do Ngoc Diep, Quantization of fields and automorphic representations, International Journal of Advances in Mathematics, 1 (2017), 48-54 (2017)
17. 17. Do Ngoc Diep, Do Thi Phuong Quynh, Poisson Summation and Endoscopy for Sp(4,R), Southeast Asian Bulletin of Mathematics, 40 (2016), 837-856 (2016)
18. 18. Do Ngoc Diep, Do Thi Phuong Quynh, Poisson summation and endoscopy for $SU(2,1)$, East West Journal of Mathematics 17 (2015), 125-140. (2015)
19. 19. Do Ngoc Diep, Do Thi Phuong Quynh, Automorphic representations of SL(2,R) and quantization of fields, American Research Journal of Mathematics, 1 (2015), 25-37. (2015)
20. 20. Do Ngoc Diep, Category of Noncommutative CW-Complexes. II, Vietnam J Math 42 (2014) 73–82 (2014)
21. 21. Do Ngoc Diep, Category of noncommutative CW complexes, Vietnam Journal of Mathematics 38 (2010), 363 -- 371 (2011)
22. 22. Nong Quoc Chinh, Do Ngoc Diep, Course of Differential Geometry, NXB DHQG HN, 2010 (in Vietnamese (2010)
23. 23. Do Ngoc Diep, Huynh Van Duc, Bui Doan Khanh, An algebraic approach to building quantum algorithms, Journal of Math.Appl. (Tap chi Ung dung Toan hoc), VII(2010), 93-110., (in Vietnamese) (2010)
24. 24. Do Ngoc Diep, H. D. Ton, On the electric-magnetic Goddard-Nuyts-Olive duality,, Vietnam Journal of Mathematics, 37 (2009), 457 -- 462. (2010)
25. 25. Do Ngoc Diep, A quantization procedure of fields based on geometric Langlands correspondence, International Journal of Mathematics and Mathematical Sciences, 2009 (2009), Article ID: 749361, 14. (2010)
26. 26. Do Ngoc Diep, Dao Vong Duc, Ha Vinh Tan, Nguyen Ai Viet, Convolution-wedge product of fields, Communications in Physics, 18 (2008), 111-118 (2008)
27. 27. Do Ngoc Diep, Dao Vong Duc, Ha Vinh Tan, Nguyen Ai Viet, Extended kaluza-klein unification model with mixed compactification, Communications in Physics, 18 (2008), 129-135 (2008)
28. 28. Do Ngoc Diep, Graded Čech cohomology in noncommutative geometry, . In: Advances in deterministic and stochastic analysis, 255 - 268, World Sci. Publ., Hackensack, NJ, 2007. (2007)
29. 29. Do Ngoc Diep, Quantized algebras of functions on affine Hecke algebras, International Conference Abstract and Applied Analysis and Application II, Quy Nhon, Vietnam, July 13-17, 20004 (2005)
30. 30. Do Ngoc Diep, Quantum computers and related mathematicalstructures, Tap chi Ung dung Toan hoc 2 (2004), 77 - 92 (in Vietnamese) (2004)
31. 31. Do Ngoc Diep, Riemann-Roch theorem and index theorem in non-commutative geometry, In: Abstract and applied analysis, 29-50, World Sci. Publishing, River Edge, NJ, 2004. (2004)
32. 32. Do Ngoc Diep, The noncommutative Chern-Connes character of the locally compact quantum normalizer of $SU (1,1$) in $SL(2, C)$, International Journal of Mathematics, 15 (2004), N0 4, 361 - 367. (2004)
33. 33. Do Ngoc Diep, Nguyen Viet Hai, Quantum co-adjoint orbits of the group of affine transformations of the complex line, Beitr. Algebra Geom 42 (2001), 419 - 430. (2001)
34. 34. Do Ngoc Diep, Nguyen Viet Hai, Quantum half-planes via deformation quantization, Beitr. Algebra Geom. 42 (2001), 407 - 417. (2001)
35. 35. Do Ngoc Diep, Aderemi O. Kuku, Nguyen Quoc Tho, Non-commutative Chern characters of compact quantum group, Journal of Algebra, 226 (2000), N0 1, 311 - 331. (2000)
36. 36. Do Ngoc Diep, Methods of noncommutative geometry for group C*-algebras, Chapman & Hall/CRC Research Notes in Mathematics, 416. Chapman & Hall/CRC, Boca Raton, FL, 2000. xii+351 pp. (2000)
37. 37. Do Ngoc Diep, T. C. Trung, A geometric realization of degenerate principal series presentations of symplectic groups, East-West J. Math. 1 (1999), 117 - 130. (1999)
38. 38. Do Ngoc Diep, Aderemi O. Kuku, Nguyen Quoc Tho, Non-commutative Chern characters for compact Lie group C*-algebras, K-Theory 17 (1999), 195 - 208. (1999)
39. 39. Do Ngoc Diep, Witten-Jeffrey-Kirwan localization formula for reduction at regular coadjoint orbits. Matimyas Matematika, Special Issue, August 1998, In: Proceedings "International Conference on Inverse Problems and Applications", February 23 - 27, 1998, 93 - 108. (1998)
40. 40. Do Ngoc Diep, On the Langlands type discrete groups III. Tthe continuous cohomology, Acta Mathematica Vietnamica , Issue 2, December 1997, Volume 22, 379-394 (1997)
41. 41. Do Ngoc Diep, Nguyen Van Thu, Homotopy invariance of entire current periodic cyclic homology, Vietnam J. Math. 25 (1997), 211 - 228. (1997)
42. 42. Do Ngoc Diep, Multidimensional quantization and degenerate principal series, Vietnam J. of Math. 23 (1995), 127 - 132. (1995)
43. 43. Do Ngoc Diep, Non-commutative geometry methods for group algebras, Dr. Sc. Thesis, Institute of Math. NCST of Vietnam, Hanoi, 1995, 147 pp. (in Vietnamese). (1995)
44. 44. Do Ngoc Diep, On the Langlands type discrete groups I. The Borel-Serre compactification., Acta Mathematica Vietnamic 12 (1987), 41 - 54. (1987)
45. 45. Do Ngoc Diep, Multidimensional quantization II, The covariant derivation. Acta Math. Vietnam. 7 (1982), 87 - 93 (1982)
46. 46. Do Ngoc Diep, Construction des représentations unitaires par les K-orbites et quantification, C. R. Acad. Paris Série A, 291 (1980), 295 - 298 (1980)
47. 47. Do Ngoc Diep, Multidimensional quantization I, The general construction. Acta Math. Vietnam. 5 (1980), 42 - 55 (1980)
48. 48. Do Ngoc Diep, The structure of C*-algebras of type I, Vestnik Moskov. Uni., 1978, 81 - 87 (1978)
49. 49. Do Ngoc Diep, Applications of the homological K-functor Ext to studying the structure of the C*-algebras of some solvable Lie groups, Ph. D. Thesis, Moskov. Uni., 1977 (1977)
50. 50. Do Ngoc Diep, The structure of the group C*-algebra of the group of affine transformations of the straight line, Funkt. Anal. i Priloz. 9 (1975), 63 - 64 (1975)

Preprints

1. 1. IMH20170502, Do Ngoc Diep, Multiparty Quantum Telecommunication Using Quantum Fourier Transforms, preprint arXiv:1705.02608 (2017)
2. 2. IMH20170505, Do Ngoc Diep, Nguyen Van Minh, Quantum E-Cheques, preprint arXiv. (2017)
3. 3. IMH20170601, Do Ngoc Diep, Transfering Quantum e-cheques in nonsecured channels. (2017)
4. 4. IMH20170901, Do Ngoc Diep, Quantum computing determining a homogeneous linear function. (2017)
5. 5. IMH20170902, Do Ngoc Diep, Creating very true quantum algorithms for quantum energy-based computing. (2017)
6. 6. IMH20161001, Do Ngoc Diep, $\ell$-adic Poisson Formula and Endoscopy for $p$-Adic Reductive Groups (2016)